Search a number
-
+
98952408 = 23332915797
BaseRepresentation
bin1011110010111…
…10010011011000
320220012022012000
411321132103120
5200312434113
613452521000
72311036662
oct571362330
9226168160
1098952408
1150946455
1229180160
1317667a29
14d1db532
158a49373
hex5e5e4d8

98952408 has 64 divisors (see below), whose sum is σ = 284364000. Its totient is φ = 31844736.

The previous prime is 98952407. The next prime is 98952421. The reversal of 98952408 is 80425989.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98952401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635 + ... + 14162.

Almost surely, 298952408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98952408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142182000).

98952408 is an abundant number, since it is smaller than the sum of its proper divisors (185411592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98952408 is a wasteful number, since it uses less digits than its factorization.

98952408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15841 (or 15831 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 98952408 is about 9947.4824955865. The cubic root of 98952408 is about 462.5323598493.

The spelling of 98952408 in words is "ninety-eight million, nine hundred fifty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 15797 31594 47391 63188 94782 126376 142173 189564 284346 379128 426519 458113 568692 853038 916226 1137384 1374339 1706076 1832452 2748678 3412152 3664904 4123017 5497356 8246034 10994712 12369051 16492068 24738102 32984136 49476204 98952408